Neymar scored for the first time in Europe's premier club competition in the 44th minute of Barca's 6-1 thumping of the Scottish Premiership outfit.
And he added two more shortly after the break, with an outstanding piece of trickery before his third delighting the Camp Nou crowd.
"I needed a match like this - I hope it continues," Neymar told Barcelona's official website.
"I'll save the match ball so that my team-mates can sign it. I'm very pleased that I scored a hat-trick in the Champions League, we played really well, and that's what is important."
The Catalan giants will now enter the last 16 as one of the competition's favourites but could face either Manchester City or Arsenal in the next round.
Asked who he would like to play, Neymar said: "I don't have any preferences, we have to respect the team we're paired up with."
